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Finding the Fourth Proportional to 179,354.80, 269,022.44 and 54,686

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Solution

The fourth proportional to 179,354.80, 269,022.44 and 54,686 is: 82,026.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,354.80 : 269,022.44 = 54,686 : x
  2. Step 2: Convert to fraction form
    179,354.80/269,022.44 = 54,686/x
  3. Step 3: Cross multiply
    179,354.80x = 269,022.44 × 54,686
  4. Step 4: Simplify right side
    179,354.80x = 14,711,761,153.84
  5. Step 5: Solve for x
    x = 14,711,761,153.84/179,354.80
  6. Step 6: Final answer
    x = 82,026.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.